Adv. Alg 1 Ultimate Final Exam Jeopardy

Straight Math

400

Find the equation of the line through the origin and (14,6), in standard form

3x-7y=0

450

Solve:

{ 4x-y=-8

{ 2x+2y=6

(-1,4)

500

Find the equation of the line perpendicular to 2y+4x=8 which has x-intercept (12,0)

y=(1/2)x-6

550

Solve

{0.25y = 1-0.5x

{-2y-4x = -2

{(x,y) | y+2x=1} (Same line)

600

Find k such that

{kx+18y = -6

{0.5x+ky=1

Has no solutions

k=3

Super Powers

400

(6 x 10^-23)(2.25 x 10⁹)

1.35 x 10^-13

450

(1 /(-2x^-4))^-5

-32/x²⁰

500

((-20)³(-30)⁴) / ((10⁶)(6⁴))

-5

550

(1 - x^-2) / (x^-2 - x^-1)

-x-1

600

(1/256)^(-3/4)

64

x-Factor

400

12x² -29x - 8

(3x-8)(4x+1)

450

125x³ + 64y³

(5x+4y)(25x²-20xy+16y²)

500

(6-2x)²- 4(x+3)²

-48x

550

(0.4x − 0.7)(5x)(0.7 + 0.4x)

0.8x³-2.45x

600

80x³y+6x²y²-2xy³

2xy(8x-y)(5x+y)

Roots of all Evil

400

sqrt(72) - sqrt(8)

4 sqrt(2)

450

sqrt( 2700x¹²y²)

30x⁶|y|sqrt(3)

500

(sqrt(75) - sqrt(27))²

12

550

4 / (sqrt(8))

sqrt(2)

600

sqrt( 12 + sqrt(108))

3 + sqrt(3)

Wordy

400

How much of an 8% HCl solution and a 20% HCl solution must be combined to obtain 600 ml of 10% solution?

500 ml of 8%, 100 ml of 20%

450

Olive read 200 pages of a book. Then, she read 30% of the remaining pages. There were 315 pages remaining. How many pages total are in the book?

650 pages

500

Nicole and Aneesa had some marbles in the ratio 5:3, respectively. If Aneesa gave Nicole 4 marbles, then the ratio of Nicole's to Aneesa's numbers would be 3:1. How many marbles total are there?

32 marbles total.

550

A rectangle has perimeter 82 m. Its area is 180 m². What are the dimensions of the rectangle?

5 x 36 m

600

A rocket ship whose speed in still air is 760 m/s can travel 2000 m with the wind in the same amount of time that it takes to fly 1800 m against the wind. What is the speed of the wind?

40 m/s